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Finding the Fourth Proportional to 2,803.44, 4,198.68 and 2,706.24

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Solution

The fourth proportional to 2,803.44, 4,198.68 and 2,706.24 is: 4,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.44 : 4,198.68 = 2,706.24 : x
  2. Step 2: Convert to fraction form
    2,803.44/4,198.68 = 2,706.24/x
  3. Step 3: Cross multiply
    2,803.44x = 4,198.68 × 2,706.24
  4. Step 4: Simplify right side
    2,803.44x = 11,362,635.76
  5. Step 5: Solve for x
    x = 11,362,635.76/2,803.44
  6. Step 6: Final answer
    x = 4,053.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.